Some Schla¨fli type modular equations of composite degrees
S. Ramanujan documented several modular equations of degrees in his notebooks. These identities are used to evaluate Weber's class in variants, continued fractions and many more. In the present work, we establish modular equations of composite degrees using the known identities.
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023311?viewType=HTML |
| _version_ | 1811176131701768192 |
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| author | D. Anu Radha B. R. Srivatsa Kumar |
| author_facet | D. Anu Radha B. R. Srivatsa Kumar |
| author_sort | D. Anu Radha |
| collection | DOAJ |
| description | S. Ramanujan documented several modular equations of degrees in his notebooks. These identities are used to evaluate Weber's class in variants, continued fractions and many more. In the present work, we establish modular equations of composite degrees using the known identities. |
| first_indexed | 2024-04-10T19:48:18Z |
| format | Article |
| id | doaj.art-410cd0dd5ef64c3d9305947e1c8c1a13 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T19:48:18Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-410cd0dd5ef64c3d9305947e1c8c1a132023-01-29T01:42:47ZengAIMS PressAIMS Mathematics2473-69882023-01-01836167617510.3934/math.2023311Some Schla¨fli type modular equations of composite degreesD. Anu Radha0 B. R. Srivatsa Kumar1Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal-576 104, IndiaDepartment of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal-576 104, IndiaS. Ramanujan documented several modular equations of degrees in his notebooks. These identities are used to evaluate Weber's class in variants, continued fractions and many more. In the present work, we establish modular equations of composite degrees using the known identities.https://www.aimspress.com/article/doi/10.3934/math.2023311?viewType=HTMLdedekind η-functionmodular equationsq-identitytheta-function |
| spellingShingle | D. Anu Radha B. R. Srivatsa Kumar Some Schla¨fli type modular equations of composite degrees AIMS Mathematics dedekind η-function modular equations q-identity theta-function |
| title | Some Schla¨fli type modular equations of composite degrees |
| title_full | Some Schla¨fli type modular equations of composite degrees |
| title_fullStr | Some Schla¨fli type modular equations of composite degrees |
| title_full_unstemmed | Some Schla¨fli type modular equations of composite degrees |
| title_short | Some Schla¨fli type modular equations of composite degrees |
| title_sort | some schla¨fli type modular equations of composite degrees |
| topic | dedekind η-function modular equations q-identity theta-function |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023311?viewType=HTML |
| work_keys_str_mv | AT danuradha someschlaflitypemodularequationsofcompositedegrees AT brsrivatsakumar someschlaflitypemodularequationsofcompositedegrees |